The invention discloses a gear honing machine tool without axial feed and a gear honing method. A left tooth face honing wheel is fixedly connected with a thread at the tail end of a left tooth face honing wheel transmission shaft through a cone hole of the left tooth face honing wheel by means of a first fastening nut; a right tooth face honing wheel is fixedly connected with a thread at the tailend of a right tooth face honing wheel transmission shaft through a cone hole of the right tooth face honing wheel by means of a second fastening nut; a machined gear is placed parallel to a work table, and two cooling hoses are placed close to a grinding area. The left tooth face honing wheel and the right tooth face honing wheel are meshed with the machined helical gear, and the honing qualityand the honing allowance of the honing wheels for the machined helical gear are controlled by adjusting the rotating speed of two servo motors and the relative phase angle phi of the two servo motors.The gear honing machine tool is a special machine tool for finish machining of cylindrical hardened helical gears produced in batches or in large quantities. Compared with other similar machine tools, the gear honing machine tool has the advantages of simple mechanism, convenient operation, and low cost of manufacturing and later maintenance.